arXiv · hep-ph/9301284
Pair creation in transport equations using the equal-time Wigner function
Abstract
Based on the equal-time Wigner function for the Klein-Gordon field, we discuss analytically the mechanism of pair creation in a classical electromagnetic field including back-reaction. It is shown that the equations of motion for the Wigner function can be reduced to a variable-frequency oscillator. The pair-creation rate results then from a calculation analogous to barrier penetration in nonrelativistic quantum mechanics. The Wigner function allows one to utilize this treatment for the formulation of an effective transport theory for the back-reaction problem with a pair-creation source term including Bose enhancement.
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C. Best, J. M. Eisenberg. 1993-01-27. Pair creation in transport equations using the equal-time Wigner function. https://doi.org/10.1103/physrevd.47.4639
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